Magnetohydrodynamic Slip Flow and Heat Transfer in a Porous Medium over a Stretching Cylinder: Homotopy Analysis Method

Abstract

This study considers magnetohydrodynamic flow and heat transfer outside a hollow stretching cylinder immersed in a fluid saturated porous medium of sparse distribution of particles with high permeability. Partial slip boundary conditions for the velocity and temperature fields are assumed at the stretching surface of the cylinder. Using similarity transformations, the nonlinear partial differential equations governing the flow and heat transfer are converted into nonlinear ordinary differential equations which are then solved by the homotopy analysis method. The effects of the pertinent parameters on the velocity and temperature profiles are investigated and discussed graphically.

Acknowledgments

The authors wish to express their thanks to the reviewers for their helpful comments and suggestions to improve the quality and presentation of this article. The support provided by the Council of Scientific and Industrial Research through the Senior Research Fellowship to Rashmi Agrawal, and the University Grants Commission through the Senior Research Fellowship to Priyanka Rastogi is gratefully acknowledged.